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2010
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sándor j. kovács
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English
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Arxiv.org
by Sándor J. Kovács; Karl E. Schwede; Karen E. Smith
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We prove that a Cohen-Macaulay normal variety $X$ has Du Bois singularities if and only if $\pi_*\omega_{X'}(G) \simeq \omega_X$ for a log resolution $\pi: X' \to X$, where $G$ is the reduced exceptional divisor of $\pi$. Many basic theorems about Du Bois singularities become transparent using this characterization (including the fact that Cohen-Macaulay log canonical singularities are Du Bois). We also give a straightforward and self-contained proof that (generalizations of) semi-log-canonical...
Source: http://arxiv.org/abs/0801.1541v3